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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A new class of radial basis functions with compact support


Author: M. D. Buhmann
Journal: Math. Comp. 70 (2001), 307-318
MSC (2000): Primary 41A05, 41A15, 41A25, 41A30, 65D05, 65D15
Published electronically: March 16, 2000
MathSciNet review: 1803129
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Abstract: Radial basis functions are well-known and successful tools for the interpolation of data in many dimensions. Several radial basis functions of compact support that give rise to nonsingular interpolation problems have been proposed, and in this paper we study a new, larger class of smooth radial functions of compact support which contains other compactly supported ones that were proposed earlier in the literature.


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Additional Information

M. D. Buhmann
Affiliation: Lehrstuhl VIII Mathematik, Universität Dortmund, 44221 Dortmund, Germany
Address at time of publication: Lehrstuhl Numerik, Justus-Liebig-Universität, Heinrich-Buff-Ring 44, 35392 Giessen, Germany
Email: martin.buhmann@math.uni-giessen.de

DOI: http://dx.doi.org/10.1090/S0025-5718-00-01251-5
PII: S 0025-5718(00)01251-5
Received by editor(s): January 7, 1999
Published electronically: March 16, 2000
Article copyright: © Copyright 2000 American Mathematical Society